%5E4.jpeg "(v^5)^4")
Simplifying Exponents: (v^5)^4
When dealing with exponents, we often encounter expressions like (v^5)^4. This might seem intimidating at first, but there's a simple rule to help us simplify it.
The Rule of Exponents
The rule we need is: (a^m)^n = a^(m*n)
This means that when raising a power to another power, we multiply the exponents.
Applying the Rule
Let's apply this rule to our example:
(v^5)^4 = v^(5*4)
Simplifying the multiplication:
v^(5*4) = v^20
Final Result
Therefore, (v^5)^4 simplifies to v^20.
Remember: This rule applies to any base and any exponents.